How to convert percentages into fractures - math with mom (2023)

How to convert a percentage to an interval

Use the following steps to convert a percentage to a break:

1. Eliminate the percentage and write the remaining number as a fraction of 100.
2. Multiply the accountant and denominator of the parliamentary group with 10.
3. If possible, simplify the interval.

Here is an example of converting a percentage into a fraction of the simplest way. We have 50%.

Step 1: Eliminate the percentage characters and write the remaining number as a fraction of 100.

We eliminate the % symbol and write 50 of 100.

Step 2: Multiply the accountant and the interval denominator for each decimal point in this issue.

We do not need to change the interval because it does not have decimal places.50 do not have decimal pieces.

Step 3: If possible, simplify the interval.

We can simplify the interval⁵⁰/₁₀₀For¹/₅₀We can find that 50 is half of 100 or simply divides the top accountant and the denominator at the bottom of 50.

Here are several examples of percentages that were written as intervals.

In all these examples, the number can simply be written in a step as an interval of 100.

17% can be what written¹⁷/₁₀₀.

33% can be written as³³/₁₀₀.

89% can be what written⁸⁹/₁₀₀.

There is no need to simplify these factions, since there is no number that divides exactly 17 and 100, 33 and 100 or 89 and 100.

The price sets are written per 100 because the word of the Latin words "percentage" comes.

Although all percentages can be written as a fraction of 100, they are not eliminated every 100 percentage..

How to write a percentage as a rest in its simplest form

To write a percentage as a break in its simplest form, follow the following steps:

1. Eliminate the percentage.
2. Write the remaining number as an accountant around a 100 denominator.
3. If the accountant and the denominator can be shared by the same amount without rest, dividing them by that value.
4. Repeat as long as step 3 is not a number divided into the meter and the denominator.

For example, the percentage here is 15%.

After step 1, we eliminate the percentage signals and write 15 out of 100.¹⁵/₁₀₀.

The accountant and the denominator end in 5 or 0. Those of the years are 15 and 100 in the 5 -time table. We can divide in 5.

¹⁵/₁₀₀Can be written as³/₂₀This is because 15 ÷ 5 = 3 and 100 ÷ 5 = 20. We have to share the accountant and the denominator for the same amount to keep the equivalent factions or the same size.

We can divide 3 and 4 into another number without forming in our interval in decimal places. We do not write decimal places at intervals and, therefore, we leave 15% as³/₂₀.

Here is another example of writing a percentage as a break in its simplest form.

We have 75%.75%means 75 in 100. We write this as⁷⁵/₁₀₀.

Then we can simplify this rest. We know that the faction can be simplified as 75 and 100 finished at 5 or 0 extremes, which end in 5 and 0, it can be shared by 5.

We can divide the top and 5 below to obtain¹⁵/₂₀However, we can simplify this even more dividing another 5 times.

We can simplify completely¹⁵/₂₀For³/₄.

We can see this⁷⁵/₁₀₀It can be simplified to³/₄Pass immediately separating the counter and the denominator with 25.

75 ÷ 25 = 3

100 ÷ 25 = 4

Here is another example of writing a percentage as a fraction of the simplest.

We have 4% and we will show you as a fraction by writing 4 in 100.

Then we can see that 4 and 100 are also when they end in a pair number. This means that the accountant and the denominator can be shared by 2.

4 ÷ 2 = 2

100 ÷ 2 = 50

⁴/₁₀₀Can be written as²/₅₀.Sowohl 2, as well as 50 ends only in numbers and, therefore, can be reduced by half again.

2 ÷ 2 = 1

50 ÷ 2 = 25

4% es⁴/₁₀₀This can be completely simplified for¹/₂₅.

If you find that 4 and 100 to 4 can be divisible, this simplification can be done in one step.

4 ÷ 4 = 1

100 ÷ 4 = 25

How to write a percentage with a decimal number as a fraction

To write a percentage with a decimal number as a fraction, follow the following steps:

1. Eliminate the percentage and write the remaining number as a fraction of 100.
2. Multiply the counter and the denominator with 10 for each number after the decimal point.
3. If possible, simplify the interval.

For example, 25.4%are here.

Step 1: Eliminate the percentage characters and write the remaining number as a fraction of 100.

We have 25.4 in 100.

Step 2: Multiply the counter and the denominator with 10 for each number after the decimal point.

25.4It has a digit after the decimal point.

We make 25.4 an integer number that multiplies with 10.

25,4 × 10 = 254.

100 × 10 = 1000

We can write^25.4/₁₀₀when²⁵⁴/₁₀₀₀.

Then we can simplify²⁵⁴/₁₀₀₀Sharing the meter and denominator by 2.

We arrive at the completely simplified response to¹²⁷/₅₀₀.

In this next example, we have a percentage with two decimals.

39.04% have two digits after the decimal point, 0 and 4.

The first step is to write it as a fraction of 100.

As 39.04 have two decimals, we need to multiply the counter and the twice denominator with 10, which means that we need to multiply by 100.

39,04 × 100 = 3904

E 100 × 100 = 10.000.

39.04% can be a break³⁹⁰⁴/_10.000.

We can simplify this break because 3904 and 10000 end in a pair number.

The numbers with some intervals can be very large, but it is possible to simplify them in pieces, especially looking for a wool for 2, 3, 5 and 10.

³⁹⁰⁴/₁₀₀₀₀can be simplified by shared by 2 to obtain¹⁹⁵²/₅₀₀₀.

¹⁹⁵²/₅₀₀₀can be simplified by shared by 2 to obtain⁹⁷⁶/₂₅₀₀.

⁹⁷⁶/₂₅₀₀can be simplified by shared by 2 to obtain⁴⁸⁸/₁₂₅₀.

⁴⁸⁸/₁₂₅₀can be simplified by shared by 2 to obtain²⁴⁴/₆₂₅.

Therefore, 39.04% can be written as a fraction of its simplest way than writing²⁴⁴/₆₂₅.